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Finding the Third Proportional to 37,013.63 and 50,599.69

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Solution

The third proportional to 37,013.63 and 50,599.69 is: 69,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,013.63 : 50,599.69 = 50,599.69 : x
  2. Step 2: Convert to fraction form
    37,013.63/50,599.69 = 50,599.69/x
  3. Step 3: Cross multiply
    37,013.63x = 50,599.69 × 50,599.69
  4. Step 4: Simplify right side
    37,013.63x = 2,560,328,375.10
  5. Step 5: Solve for x
    x = 2,560,328,375.10/37,013.63
  6. Step 6: Final answer
    x = 69,172.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.